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mihalych1998 [28]
3 years ago
10

Is -8-2 (3+2n)+7n equivalent to -30-13n

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

No

-8-6-4N+7N

-14+3N

That is the answre

Anna11 [10]3 years ago
4 0
-8 - 2(3 + 2n) + 7n
= -8 - 6 - 4n + 7n
= -14 + 3n

No, it is not equivalent to - 30 - 13n
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Ymorist [56]

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4 0
3 years ago
Read 2 more answers
Christy went on a round-trip bicycle ride starting at her house. When she left, she traveled downhill at a rate of 24 kilometers
vazorg [7]
Since this is a round-trip, Christy covered the same distance in both journey.

Let the distance covered be
d

When she left the house, she travelled at
24 \: kph

We were given the average speed to be
20 \: kph

Meaning if we add the speed in the return journey to 24 kph and find the average , we must obtain 20 kph.

Let
x
be the speed in the return trip.

Then
\frac{24 + x}{2} = 20

We solve for x to obtain;

24 + x = 40

x = 40 - 24 = 16 \: kph

We were also told that she took half an hour longer in the return trip.

If we let
t
represent the time the first journey took, then the return trip will take

(t + 0.5) \: hours

Now we have the following:

First Journey

speed = \frac{d}{t}

24 = \frac{d}{t}

\Rightarrow d = 24t - - - (1)

Second Journey

16 = \frac{d}{t + 0.5}

\Rightarrow d = 16(t + 0.5) - - - (2)

Now let us equate the two equations to obtain,

16(t + 0.5)= 24t

We expand and simplify to obtain;

16t + 8= 24t

This implies that,

8= 24t - 16t

.
8= 8t

t = 1

Hence the return trip took,

t + 0.5 = 1 + 0.5 = 1.5

hours.
4 0
4 years ago
Where are the astmptotes for the following function located f(x)=7/x^2-2x-24​
ira [324]

Answer:

Hence, the asymptotes of f(x) located at x=6 and x=-4.

Step-by-step explanation:

Since we have given that

f(x)= \frac{7}{x^2-2x-24}

We need to find the asymptotes for the above function:

Asymptotes occur when denominator becomes zero.

x^2-2x-24=0\\\\x^2-6x+4x-24=0\\\\x(x-6)+4(x-6)=0\\\\(x-6)(x+4)=0\\\\x=6,-4

6 0
3 years ago
Determine which two of the three given triangles are similar. Find the scale factor for the pair.
ivann1987 [24]
DEF and GHJ
the scale factor is 2/5
8 0
2 years ago
Is the line y=3x-7 parallel or perpendicular to 3x+9y=<br> 9?Explain your answer
g100num [7]

Answer:

yes, perpendicular

Step-by-step explanation:

perpendicular lines on a graph has opposite reciprocal slope

<h2>y=3x-7    </h2>

3x+9y=9 ( put the equation in the  slope intercept form y=mx+b

9y=-3x+9

y=-3x/9+9

<h2>y=-1/3 x +9</h2>

the slope of the first question is 3

the slope of the second equation is -1/3 x

yes the two lines are perpendicular

4 0
3 years ago
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